Compute the linear correlation coefficient for the sample data summarized by thefollowing information using the r formula.n=5 Σ=25 Σπ? = 165Σ _y = 24 Σy = 134 Σry=144157<9Ο 0.8144.012Ο 0.9560 0.875

Solution-: Given: n=5,∑X=25,∑Y=24,∑X2=165,∑Y2=134,∑XY=144 1≤x≤9 We want to find linear…

Answered: Compute the linear correlation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Find the sample correlation coefficient for the following data.
Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
Determine whether the correlation coefficient is statistically significant at the specified level of significance for the given sample size. r=−0.331, α=0.05, n=30
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α = 0.05. Internet Users Award Winners O A. Award Winners 12- 0- 30 Internet Users 90 81.0 5.6 Q 79.2 56.8 8.8 3.4 The linear correlation coefficient is r = (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) 67.1 1.7 OB. Award Winners 12- 0- 30 Because the P-value of the linear correlation coefficient is Internet users and scientific award winners. 76.9 37.7 10.5 0.1 Internet Users…
In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.243 0.245 0.286 0.263 0.268 0.339 0.299 y 1.0 3.3 5.5 3.8 3.5 7.3 5.0 A) Compute r. (Round your answer to three decimal places.) B) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α = 0.05. Internet Users Award Winners 30 Internet Users 90 80.1 79.1 57.2 5.3 3.3 8.7 The linear correlation coefficient is r = (Round to three decimal places as needed.) Determine the null and alternative hypotheses. ▼ Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t=. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) 30 67.8 1.6 77.8 37.9 10.4 0.1 Internet Users 90 Because the P-value of the linear correlation coefficient is a linear correlation between Internet users and scientific award winners. (.... 30 Internet…
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.   Is the linear correlation coefficient significant? Set up the appropriate hypothesis to test the significance. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10 Group of answer choices H0: r = 0 and Ha: r ≠ 0 H0: r ≠ 0 and Ha: r = 0 H0: ρ = 0 and Ha: ρ ≠ 0 H0: ρ ≠ 0 and Ha: ρ = 0
Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.
Five observations taken for two variables follow. xi 6 11 15 21 27 yi 6 9 5 18 12 a. compute the sample covarinace b. Compute the sample correlation coefficient. (Round your answer to three decimal places.)
Five observations taken for two variables follow. xi 4 5 12 4 13 yi 50 50 30 50 20 Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure)
In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x0.241 0.263 3.8 0.261 0.286 0.268 3.5 0.339 0.299 y 1.1 3.3 5.5 7.3 5.0 (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. WebAssign. Graphing Too (b) Use a calculator to verify that Ex = 1.957, Ex2 = 0.553, Ey = 29.5, Ey2 = 147.33 and Exy = 8.607. Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases.…
Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudy GPA Student 1 2.00 3.50 Student 2 4.00 3.70 Student 3 5.00 3.30 Student 4 3.00 2.60 Student 5 4.00 3.40 a) According to the SPSS table, what can you conclude regarding the correlation between TimeStudy and GPA? Report the conclusions in proper formats. b) By fitting a linear regression line to represent the relationship between TimeStudy and GPA, the regression line function is ??? = ?. ?? + ?. ?? × ?????????. See the figure Calculate (by hand) the SSresidual.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Compute the linear correlation coefficient for the sample data summarized by the following information using the r formula. n=5 Σx=25 Στ = 165 Σy = 24 Σy = 134 Σry = 144 1≤x≤9 O 0.814 4.012 O 0.956 0.875